SOLUTION: Juan and Mary play a two-person game in which the winner gains 2 points and the loser loses 1 point. If Juan won exactly 3 games and Mary had a final score of 5 points, how many ga

Question 287586: Juan and Mary play a two-person game in which the winner gains 2 points and the loser loses 1 point. If Juan won exactly 3 games and Mary had a final score of 5 points, how many games did they play?
(A) 7 (B) 8 (C) 4 (D) 5 (E) 11
Answer by mcleo(3) (Show Source): You can put this solution on YOUR website!
Juan won 3 games, which means Mary lost 3. Thus Mary had 3 points.
Juan did not win any more games which means Mary won 1, giving a 2 points.
Answer: Mary = 1+1+1+2=5 points
= 4 games were played
Cheers,
Marlon
RELATED QUESTIONS
In a card game rita loses 1 point, gains 5 points, and loses 8 points. Jerry has 6... (answered by jim_thompson5910)

Ben and Juan fought 4 timesdebate of which Ben wins 2, 1 is won by Juan and 1 ended in a... (answered by ikleyn)

In a chess match, a win counts 1 point, a draw counts 1/2 point, and a loss counts 0... (answered by Theo,MathTherapy)

An and Bình are playing a game consisting of multiple rounds. The first person to reach... (answered by ikleyn)

Three boys played a game in which they won points for skill. At the end of the game the... (answered by MathTherapy)

Roger and Andy play a tennis match in which the first person to win two sets wins the... (answered by ikleyn,Edwin McCravy)

In a poker game, two people begin with equal sums of money. When the game ended, the... (answered by edjones)

Ann and Ben are playing a game consisting of multiple rounds. The first person to reach... (answered by ikleyn)

It was a close race for the pennant (division championship) in the baseball league this... (answered by )